Consider the functions f and g defined by f(x) = sqrt((x+1)/(x-1)) and g(x) = (sqrt(x+1)/sqrt(x- explain why f and g are not the same function.

By the property , it may seem that both functions are the same, but they're not, because they have different domains.

so the two functions are not the same.

If f(x) and g(x) were the same function, they would produce identical outputs from identical inputs. If we can find a single example where they don't, we've proven that they're distinct.

Take x = 3, for instance. For f(3), we find

while for g(3):

From this example, we can see that we're dealing with two nonequivalent functions.

EDIT: I've realized that I made a pretty big gaffe here, since

My argument would actually be incorrect in this case, then, and Konrad's would be more appropriate.

the answer is 2/54

step-by-step explanation: